Modification of Pipeline Equations and Simulation of Transients in Compressible Fluid Flow in Pipes

Usman, Mohammed Awwalu; Olatunde, Abayomi O.; Akinlemibola, O. J.

doi:10.1080/10916460902967775

Cited by 3 publications

(5 citation statements)

References 3 publications

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“…A slow transient was simulated using Godunov numerical scheme to solve the model equations in the paper [26]. The results proved that including the inertia term in the momentum equation makes the model more realistic.…”

Section: Introductionmentioning

confidence: 89%

Investigating the impact of dissolved natural gas on the flow characteristics of multicomponent fluid in pipelines

2019

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The conventional equations for describing the flow characteristics of the mixtures merely consider fluid that is homogenic, if it is above the bubble point conditions but ignore that a system containing sub-micron sized gas or vapor bubbles distributed throughout the volume of the liquid, which can exhibit unexpected heterogenic and complex phase properties. In this paper, a new mathematical model for the flowing gas-liquid mixture is presented, which has been proposed considering the colloidal feature of the system above the saturation or bubble point pressure. This approach is more in line with the actual dynamic performance of the oil and gas mixture export pipeline. Experimental data, simulations and field case studies validate the new proposed mathematical model of flow characteristics in pipeline. The obtained results confirmed that the calculated data are in good agreement with the experimental data. Based on Azerbaijan oil-gas-condensate field “Guneshli” data, this new model was used for calculating the condition in which the transformation of the flow characteristics from stable into instable is occurred. It has been discovered that the flow becomes unstable at a pressure about 30% higher than Bubble Point Pressure, which causes pulsation effect in the pipeline structure. However, homogenic behavior should be observed in this hydrodynamic condition. Also, the model provides a guideline on how to optimize the flow rate by adjusting the pipeline parameters to minimize the flow resistance, liquid slugging and hydraulic hammering effects, which cause instable operation.

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Section: Introductionmentioning

confidence: 89%

Investigating the impact of dissolved natural gas on the flow characteristics of multicomponent fluid in pipelines

2019

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“…Finally, Usman et al redesigned the Weymouth equation as follows: with y being a correction factor for changes in diameter and f being the Weymouth friction factor. This equation applies to a horizontal pipe only.…”

Section: Approximate Expressionsmentioning

confidence: 99%

“…Some of these programs even allow for the use of any or most of the above listed approximate pipeline equations. On the other hand, some new methods include modifications of existing flow equations such as in the work of Morssy et al, Falade et al, and Usman et al . From these, Morssy et al use a methodology that has a software package, which allows adding, modifying, and upgrading flow equations (Panhandle A, Panhandle B, AGA, Weymouth, etc.).…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, Falade et al combined the General Flow equation and the Colebrook–White friction factor correlation. Usman et al adjusted the Weymouth equation to account for change in diameter over the length of the pipe. Of the three (Morssy et al, Falade et al, and Usman et al), only Morssy et al use pipeline efficiency, while Usman et al ignore the value, essentially rendering the efficiency equal to a value of 1.…”

Section: Introductionmentioning

confidence: 99%

“…Usman et al adjusted the Weymouth equation to account for change in diameter over the length of the pipe. Of the three (Morssy et al, Falade et al, and Usman et al), only Morssy et al use pipeline efficiency, while Usman et al ignore the value, essentially rendering the efficiency equal to a value of 1. Meanwhile, Falade et al use the friction factor calculated with the Colebrook–White equation and do not regard the efficiency factor at all.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Computation of Natural Gas Pipeline Hydraulics

Bagajewicz

Valtinson²

2014

Ind. Eng. Chem. Res.

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When there was a lack of computing power, several approximate formulas (Weymouth, Panhandle, AGA, etc.) were developed to obtain pressure drop in gas pipelines, which are in many instances still being used. As it is well-known, they can be sometimes grossly inaccurate, necessitating the addition of an arbitrary parameter ("pipe efficiency") for each case. The right answer, now that we have computers and numerical integration methods, is to perform integration of the mechanical energy balance at least, if not both the mechanical and the overall energy balance when possible. While we advocate the numerical integration to obtain pressure drop, sometimes hydraulic calculations are embedded in several application procedures (pipe design, leak detection, compressor station operating optimization, etc.), and they require algebraic expressions to be used. We investigate the use of existing approximate formulas, a procedure to adjust the "pipe efficiency" for a given set of conditions, the building of new nonlinear surrogate models, and a Quadratic Metamodel amenable to nonconvex optimization procedures, as opposed to the current rational formulations.

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Development of a Modified Weymouth Equation for Large Diameter Pipelines

Oladipo

Nwankwo

2020

Day 1 Tue, August 11, 2020

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Flow equations are necessary for the estimation of flow rate in pipelines. Several flow equations exist and so do conventions for their application. Their range of applicability are delineated in literature such as D. W. Schroeder, Jr. and GL Noble Denton (2010). These works record the limited range of applicability of the Weymouth Equation compared to other existing flow equations. This failing of the Weymouth Equation is most prominent in large diameter pipelines. Fully turbulent flow predominates in large diameter pipelines like trunk lines and the use of Weymouth Equation for calculation of flow rate in such scenarios results in significant discrepancies. This work extends the range of applicability of the Weymouth to fully turbulent flow regimes in large diameter pipelines. In particular, the Weymouth friction factor is corrected by introducing a term accounting for internal pipe roughness. Friction factors for different flow scenarios were calculated and plotted against the Reynolds Number and the Flow Rate to reveal the transition to fully turbulent flow regime. Python programming language was used to compute a table of friction data using both the Colebrook-White Equation and the Weymouth Friction Factor equation. A correction factor was introduced into the Weymouth friction factor that takes into consideration the variation of pipe roughness. Further, the new friction factor relationship was used to modify the existing Weymouth equation. The Modified Weymouth Equation obtained predicted well for fully turbulent flow scenarios. Compared against the Weymouth Equation, it maintained an appreciable efficiency as pipe roughness was varied from standard values obtainable with new pipelines. This study achieved its set objectives of improving the efficiency of the Weymouth Equation for large diameter pipelines. It will find application in the accurate estimation of flow rate as technologies evolve for non-intrusive determination of internal pipe roughness.

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Modification of Pipeline Equations and Simulation of Transients in Compressible Fluid Flow in Pipes

Cited by 3 publications

References 3 publications

Investigating the impact of dissolved natural gas on the flow characteristics of multicomponent fluid in pipelines

Investigating the impact of dissolved natural gas on the flow characteristics of multicomponent fluid in pipelines

Computation of Natural Gas Pipeline Hydraulics

Development of a Modified Weymouth Equation for Large Diameter Pipelines

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